Classification of subbundles on the Fargues-Fontaine curve
arXiv:1911.04119 · doi:10.2140/ant.2021.15.1127
Abstract
We completely classify all subbundles of a given vector bundle on the Fargues-Fontaine curve. Our classification is given in terms of a simple and explicit condition on Harder-Narasimhan polygons. Our proof is inspired by the proof of the main theorem in [Hon19], but also involves a number of nontrivial adjustments.
26 pages